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Find the derivative of $m$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $m$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{m+h-m}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (3^(a+2)+3^a^3^3)/(3^(a+1)+3^(a+2))=m using the definition. Find the derivative of m using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is m. Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms m and -m. Simplify the fraction \frac{h}{h} by h. The limit of a constant is just the constant.